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Simplifying 10x + -4 = 2x + 18(6x + 32) Reorder the terms: -4 + 10x = 2x + 18(6x + 32) Reorder the terms: -4 + 10x = 2x + 18(32 + 6x) -4 + 10x = 2x + (32 * 18 + 6x * 18) -4 + 10x = 2x + (576 + 108x) Reorder the terms: -4 + 10x = 576 + 2x + 108x Combine like terms: 2x + 108x = 110x -4 + 10x = 576 + 110x Solving -4 + 10x = 576 + 110x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-110x' to each side of the equation. -4 + 10x + -110x = 576 + 110x + -110x Combine like terms: 10x + -110x = -100x -4 + -100x = 576 + 110x + -110x Combine like terms: 110x + -110x = 0 -4 + -100x = 576 + 0 -4 + -100x = 576 Add '4' to each side of the equation. -4 + 4 + -100x = 576 + 4 Combine like terms: -4 + 4 = 0 0 + -100x = 576 + 4 -100x = 576 + 4 Combine like terms: 576 + 4 = 580 -100x = 580 Divide each side by '-100'. x = -5.8 Simplifying x = -5.8
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